Supplemental Resources and Data for Statisticians

Statistical Glossaries

Distribution Reference

Online Mathematics Resources

Textbook Websites

1. R/S+ Reference & Helpfiles

   R Syntax Examples (cheatsheet)

   R GLM/ANOVA (cheatsheet)

   Cookbook R

   Introduction to R 

   Site of Sites for R

   Efficient R

   R Function of the Day!

   Quick-R: accessing the power of R

   R - Venebles and Smith (Latest at CRAN)

   R Hints   CRAN documents on intro to R, R basics, and Financial Applications

   S Users Guide  A complete GUI guide to S+ (ver8), with some command line.

   Modeling Financial Time Series with S-PLUS®, Second Edition  Book website and Code

2. Sample Spreadsheet techniques

   Excel Statistics Guide  useful introduction to getting quantitative work done in Excel.

   Excel 2013 Tutorials

   Excel tutorials (2010-centric)

   dmcritchie.mvps.org/excel/xlindex.htm

   Spreadsheetpage.com

   excelstatguide.pdf

   cameron.econ.ucdavis.edu/excel/excel.html

   Excel Hints (Zivot's)  Computational Finance and Financial Econometrics.

   regression.xls  Illustrates simple univariate LS regression calulcations in Excel.

   simulation.xls  Illustrates simulation using Excel

   boxplot.xls  Setup for the Bruynell Boxplot Solution, with instructions.

3. Datasets and Reference

   Groebner Book Data  unzip and you're ready to go!
   A Million Random Digits  From RAND corp (whose name came from Research And Development).
   Random.org   For random digits (binary, hex, integers)
   10,000 Random Numbers  Caution! Opens an .xls spreadsheet with 10,000 standard normals, 2 different URN generators; more to come.



4. Important Papers and Monographs


Statistics and Economics Qualifier Review Papers to review for qualifying exams in Statistics and Econometrics.
Kurtosis and Skew  Calculation and interpretation of the third and fourth (standardized) moments
Intuition for Kurtosis and Skew
Standard Errors and CI for Sample Kurtosis and Skew Avoid pitfalls of standard assumptions
Elementary Primer on Hypothesis testing  (with examples)
Simlation of Independence of Sample Mean and Variance   Did you know these were independent?



5. Tables, Cheatsheets and Reference

Relationship of Some Discrete Distributions  Kendall's chart
Relationship of Distributions  Casella & Berger's Adaptation of Leemis
Clickable diagram of distribution relationships  Also Follow @ProbFact on Twitter to get one probability fact per day
Intense chart of Relationships of distributions by Leemis, the 2008 revision. The authors posting is here.
Table of Common Distributions (Casella & Berger Table), with MGF
Probability Distributions (online). Web-based gallery. No CF/MGF stuff here, just the moments.
Probability Distributions (Wikipedia). Web-based gallery, loads slow. Nice pictures.
Probability Distribution Compendium. PDF file available for download. No CF/MGF.

Diagram of relationships in probabilistic convergence Relationship between major modes of convergence
**WIP** Handy Analysis Results Easy-to-forget results from Math, Calculus, and Complex Analysis
Handy Lebesque Measure Primer Only R¹, but hey, its well-done and only 4 pages!
Handy Math (Mostly Rⁿ Derivatives) And some of our notation for Linear Algebra
Handy Probability and Inequalities Expectation, Fatou, MCT, DCT, Fubini, Inequalities (thanks to Robert Wolpert at Duke)
Useful Calculations, Identities, and Manipulations Helpful relationships between population and sample results, distributions, etc.
Handy Large Sample Results (Need to update but better than usual; sorry I don't recall who put this together....)
Standard Regularity Conditions for Statistics (with some for math, too!)
Handy List of Statistical Limit Results (Application of the regularity document.)

Top Inequalities for a PhD Student Professor DasGupta's (Purdue) List of important statistical inequalities
CSU Essays:   Greek alphabet, Poisson/Exponential, etc.
Handy Summary of Basic Mathematical Statistics course. Great for A-Exam study

Standard Normal (Z) Table Left-tail values
t-distribution critical values Right- and two-tail values
Chi-square distribution critical values Right-tail values

Elementary Analysis ("Pre-Calc") Cheatsheets
Common Test Statistics and Their Distributions (Handy Cookbook test stats)
Example Hypothesis Test, with confidence interval, and power calculation
Very OLS Regression Cheat Sheet
Purdue's Discrete Distribution Formulae
ANOVA Sources of Variation



6. Math Resources

Abramowitz and Stegun  NIST's update, now called NIST Handbook of Mathematical Functions, for the "Occasional Computer"
Lozier's History of the Handbook  Milton Abramowitz and Irene A. Stegun, eds., Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables, NBS Applied Mathematics Series 55, National Bureau of Standards, Washington, DC (1964).
Applied Probability  Dr. Pfeiffer's notes on probability theory
Mathematics Notes Collection.  Includes measure theory and integration
themathpage.com   K-12 But useful
Various Cheatsheets (non-theoretical math)



7. Physical Constants and Conversion Factors.  You are either looking for factors for [SI] units, "conversion factors" (volume: teaspoon <-> grams of a particular substance) or physical constants, such as molar volume of ideal gas (273.15 K, 100 kPa), Value 22.710 981 x 10-3 m3 mol-1. There are a million sites out there, but why not go to the source, NIST (Formerly National Bureau of Standards). NOTE: The 11th General Conference on Weights and Measures (1960) adopted the name Systeme International d'Unites (International System of Units, international abbreviation SI), for the recommended practical system of units of measurement. See Bureau International des Poids et Mesures (BIPM).


Conversion Factors


Acceleration, Angle, Area And Second Moment Of Area, Capacity (See Volume), Density (That Is, Mass Density), Electricity And Magnetism, Energy (Includes Work), Flow, Force, Force Divided By Area (Pressure), Heat, Length, Light, Mass And Moment Of Inertia, Permeability, Power, Pressure Or Stress (Force Divided By Area), Radiology, Stress (See Pressure), Temperature, Time, Torque (See Moment Of Force), Velocity (Includes Speed), Viscosity, Volume (Includes Capacity), Volume Divided By Time (Includes Flow), Work (See Energy)

NISC Constants


alpha particle, Angstrom star, atomic mass constants, atomic unit of energy/force/momentum, etc., Bohr, Boltzmann, deuteron, electron mass, Faraday, helion mass, hertz-kilogram relationship, joule-kelvin relationship, kilogram-hertz relationship, molar mass, muon-tau mass ratio, natural units, neutron, Newtonian, Planck, proton, Rydberg, speed of light in vacuum, standard, Stefan-Boltzmann, Thomson, unified, von Klitzing, etc.

Physical Constants, downloadable ASCII List of all
Download SI tables, methodology



8. reserved